Q72. P and Q are two distinct points on the parabola, y2 = 4x, with parameters t and t1 , respectively. If the normal at P passes through Q, then the minimum value of t21 , is (1) 8 (2) 4 (3) 6 (4) 2 y2
What This Question Tests
Tests the knowledge of parametric equations and normal equations for a parabola, and the ability to derive a relationship between the parameters of two points when the normal at one passes through the other.
Concepts Tested
Formulas Used
Parametric point on y^2=4ax is (at^2, 2at)
Equation of normal at (at^2, 2at) is y + tx = 2at + at^3
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📋 Question Details
- Chapter
- Parabola
- Topic
- Normal to a parabola
- Year
- 2016
- Shift
- 10 Apr Online
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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